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Finding the Third Proportional to 538,924.50 and 845,413.50

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Solution

The third proportional to 538,924.50 and 845,413.50 is: 1,326,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,924.50 : 845,413.50 = 845,413.50 : x
  2. Step 2: Convert to fraction form
    538,924.50/845,413.50 = 845,413.50/x
  3. Step 3: Cross multiply
    538,924.50x = 845,413.50 × 845,413.50
  4. Step 4: Simplify right side
    538,924.50x = 714,723,985,982.25
  5. Step 5: Solve for x
    x = 714,723,985,982.25/538,924.50
  6. Step 6: Final answer
    x = 1,326,204.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.